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Finding the Fourth Proportional to 106.02, 158.78 and 83.01

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Solution

The fourth proportional to 106.02, 158.78 and 83.01 is: 124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.02 : 158.78 = 83.01 : x
  2. Step 2: Convert to fraction form
    106.02/158.78 = 83.01/x
  3. Step 3: Cross multiply
    106.02x = 158.78 × 83.01
  4. Step 4: Simplify right side
    106.02x = 13,179.91
  5. Step 5: Solve for x
    x = 13,179.91/106.02
  6. Step 6: Final answer
    x = 124.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.